In standard electron beam-induced current (EBIC) imaging, the scanning electron beam creates electron-hole pairs that are separated by an in-sample electric field, producing a current in the sample. In standard scanning electron microscopy (SEM), the scanning electron beam ejects secondary electrons (SE) that are detected away from the sample. While a beam electron in a scanning transmission electron microscope (STEM) can produce many electron-hole pairs, the yield of SE is only a few percent for beam energies in the range 60-300 keV, making the latter signal much more difficult to detect on-sample as an EBIC. Here we show that the on-sample EBIC in a STEM registers both SE emission and capture as holes and electrons, respectively. Detecting both charge carriers produces differential image contrast not accessible with standard, off-sample SE imaging. In a double-EBIC imaging configuration incorporating two current amplifiers, both charge carriers can even be captured simultaneously. Compared to the currents produced in standard EBIC imaging, which only highlights the regions in a sample that contain electric fields, the EBIC produced by SE, or SEEBIC, are small (pA-scale). But SEEBIC imaging can produce contrast anywhere in a sample, exposing the texture of buried interfaces, connectivity, and other electronic properties of interest in nanoelectronic devices, even in metals and other structures without internal electric fields.